Details

analyze566.0ms (21.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

sample20.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	53×	body	80	invalid

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	7
1	67	7

prune11.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 6.1b

Counts

2 → 2

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

11.2b

(/ (* a1 a2) (* b1 b2))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ (* a1 a2) (* b1 b2))

series8.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (* a1 a2) (* b1 b2))

simplify52.0ms (2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5102	191

prune52.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 0.0b

Counts

26 → 8

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

5.6b	(/ a1 (* b1 b2))
6.0b	(* a2 (/ a1 (* b1 b2)))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-l` `associate-/l*`
2×	`div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

7.0ms	(* a2 (/ a1 (* b1 b2)))
4.0ms	(/ a1 (* b1 b2))

series13.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(* a2 (/ a1 (* b1 b2)))
5.0ms	(/ a1 (* b1 b2))

simplify50.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5090	386

prune78.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	54	8	62

Merged error: 0.0b

Counts

62 → 8

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

9.4b	(* (/ a2 b1) (/ a1 b2))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 50

Calls

1 calls:

10.0ms

(* (/ a2 b1) (/ a1 b2))

series8.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (/ a2 b1) (/ a1 b2))

simplify76.0ms (3%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5134	471

prune72.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	53	8	61

Merged error: 0b

Counts

61 → 8

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt a2)
2.7b	(* (/ a1 (* b1 b2)) (cbrt a2))
3.5b	(* (* (cbrt a2) (cbrt a2)) (* (/ a1 (* b1 b2)) (cbrt a2)))
5.6b	(/ a1 (* b1 b2))

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-exp-log`
33×	`add-cbrt-cube`
25×	`prod-exp` `cbrt-unprod`
18×	`pow1`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down`
8×	`cbrt-undiv` `div-exp` `associate-l`
7×	`cbrt-prod` `associate-r`
6×	`times-frac`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`associate-l/` `-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow1/3` `associate-r/` `clear-num` `associate-/r`

Counts

4 → 94

Calls

4 calls:

12.0ms	(* (* (cbrt a2) (cbrt a2)) (* (/ a1 (* b1 b2)) (cbrt a2)))
7.0ms	(* (/ a1 (* b1 b2)) (cbrt a2))
4.0ms	(/ a1 (* b1 b2))
1.0ms	(cbrt a2)

series67.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (/ a1 (* b1 b2)) (cbrt a2))
22.0ms	(cbrt a2)
12.0ms	(* (* (cbrt a2) (cbrt a2)) (* (/ a1 (* b1 b2)) (cbrt a2)))
5.0ms	(/ a1 (* b1 b2))

simplify67.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4940	789
1	4940	789

prune103.0ms (4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	106	8	114

Merged error: 0b

Counts

114 → 8

regimes710.0ms (27.5%)

Accuracy

Total 3.0b remaining (99.4%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	75
1	29	75

end0.0ms (0%)

sample537.0ms (20.8%)

Algorithm

1×

intervals

Results

236.0ms	8000×	body	80	valid
53.0ms	1843×	body	80	invalid

Details

analyze566.0ms (21.9%)

sample20.0ms (0.8%)

simplify4.0ms (0.2%)

prune11.0ms (0.4%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series8.0ms (0.3%)

simplify52.0ms (2%)

prune52.0ms (2%)

localize7.0ms (0.3%)

rewrite13.0ms (0.5%)

series13.0ms (0.5%)

simplify50.0ms (1.9%)

prune78.0ms (3%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series8.0ms (0.3%)

simplify76.0ms (3%)

prune72.0ms (2.8%)

localize9.0ms (0.4%)

rewrite28.0ms (1.1%)

series67.0ms (2.6%)

simplify67.0ms (2.6%)

prune103.0ms (4%)

regimes710.0ms (27.5%)

bsearch1.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample537.0ms (20.8%)

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